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Finding the Fourth Proportional to 3,164.54, 4,740.62 and 1,928.88

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Solution

The fourth proportional to 3,164.54, 4,740.62 and 1,928.88 is: 2,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.54 : 4,740.62 = 1,928.88 : x
  2. Step 2: Convert to fraction form
    3,164.54/4,740.62 = 1,928.88/x
  3. Step 3: Cross multiply
    3,164.54x = 4,740.62 × 1,928.88
  4. Step 4: Simplify right side
    3,164.54x = 9,144,087.11
  5. Step 5: Solve for x
    x = 9,144,087.11/3,164.54
  6. Step 6: Final answer
    x = 2,889.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.